Description

• Title:
  Normalisation for Some Quite Interesting Many-Valued Logics
• Creator:
  Kürbis, Nils;
  Petrukhin, Yaroslav
• Description:
  In this paper, we consider a set of quite interesting three- and four-valued logics and prove the normalisation theorem for their natural deduction formulations. Among the logics in question are the Logic of Paradox, First Degree Entailment, Strong Kleene logic, and some of their implicative extensions, including RM3 and RM3⊃. Also, we present a detailed version of Prawitz’s proof of Nelson’s logic N4 and its extension by intuitionist negation.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2021 Logic and Logical Philosophy
• Date:
  2021.06.16
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion
• Language:
  English
• Source:
  Logic and Logical Philosophy; Vol. 30 No. 3 (2021): September; 493-534;
  Logic and Logical Philosophy; Tom 30 Nr 3 (2021): wrzesień; 493-534;
  2300-9802;
  1425-3305
• Format:
  application/pdf
• Publisher:
  Uniwersytet Mikołaja Kopernika w Toruniu
• Relation: https://apcz.umk.pl/LLP/article/view/LLP.2021.009/29158
• Subject:
  natural deduction;
  normalisation;
  three-valued logic;
  four-valued logic;
  logic of paradox;
  Nelson logic
• Identifier: https://apcz.umk.pl/LLP/article/view/LLP.2021.009
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  text